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Main Authors:	Chao, Ting-Wei, Xu, Zixiang, Yip, Chi Hoi, Zhang, Shengtong
Format:	Preprint
Published:	2025
Subjects:	Combinatorics
Online Access:	https://arxiv.org/abs/2501.13850
Tags:	Add Tag No Tags, Be the first to tag this record!

Intersective sets over abelian groups
by: Xu, Zixiang, et al.
Published: (2022)

The Frankl-Pach upper bound is not tight for any uniformity
by: Ge, Gennian, et al.
Published: (2024)

Sperner systems with restricted differences
by: Xu, Zixiang, et al.
Published: (2022)

Multiplicative irreducibility of small perturbations of the set of shifted $k$-th powers
by: Yip, Chi Hoi
Published: (2025)

Sunflowers in set systems with small VC-dimension
by: Balogh, József, et al.
Published: (2024)

Exact values and improved bounds on $k$-neighborly families of boxes
by: Cheng, Xinbu, et al.
Published: (2023)

Extremal Peisert-type graphs without the strict-EKR property
by: Goryainov, Sergey, et al.
Published: (2023)

A strengthening of McConnel's theorem on permutations over finite fields
by: Yip, Chi Hoi
Published: (2024)

Large point-line matchings and small Nikodym sets
by: Hunter, Zach, et al.
Published: (2026)

Erdős-Ko-Rado theorem in Peisert-type graphs
by: Yip, Chi Hoi
Published: (2023)

Generalized additive bases and difference bases for Cartesian product of finite abelian groups
by: Li, Shuxing, et al.
Published: (2025)

Van Lint-MacWilliams' conjecture and maximum cliques in Cayley graphs over finite fields, II
by: Yip, Chi Hoi
Published: (2025)

An Erdős-Ko-Rado theorem for binary codes
by: Asgarli, Shamil, et al.
Published: (2026)

Exact values and improved bounds on the clique number of cyclotomic graphs
by: Yip, Chi Hoi
Published: (2023)

Largest dyadic dual VC-dimension of non-piercing families
by: Huang, Xinqi, et al.
Published: (2025)

Maxmum Size of a Uniform Family with Bounded VC-dimension
by: Yang, Tianchi, et al.
Published: (2025)

Hilbert cubes in sets with arithmetic properties
by: Croot, Ernie, et al.
Published: (2026)

Restricted sumsets in multiplicative subgroups
by: Yip, Chi Hoi
Published: (2023)

An inverse theorem on sets with rich additive structure modulo primes
by: Croot, Ernie, et al.
Published: (2025)

Uniform Set Systems with Uniform Witnesses
by: Chao, Ting-Wei, et al.
Published: (2026)

Paley-type matrices and $1$-factorizations of complete graphs
by: Yip, Chi Hoi, et al.
Published: (2026)

Extensions of the Carlitz-McConnel and Blokhuis-Sziklai theorems for unions of cyclotomic classes
by: Xiong, Maosheng, et al.
Published: (2026)

Distribution of power residues over shifted subfields and maximal cliques in generalized Paley graphs
by: Martin, Greg, et al.
Published: (2024)

Blocking sets from a union of plane curves
by: Asgarli, Shamil, et al.
Published: (2025)

$f$-Diophantine sets over finite fields via quasi-random hypergraphs from multivariate polynomials
by: Kim, Seoyoung, et al.
Published: (2025)

Cliques in Paley graphs of square order and in Peisert graphs
by: Brouwer, Andries E., et al.
Published: (2025)

Any two-coloring of the plane contains monochromatic 3-term arithmetic progressions
by: Currier, Gabriel, et al.
Published: (2024)

An Alon-Boppana--type bound for very dense graphs, with applications to max-cut
by: Zhang, Shengtong
Published: (2025)

On the first two eigenvalues of regular graphs
by: Zhang, Shengtong
Published: (2023)

Extremal values for the square energies of graphs
by: Zhang, Shengtong
Published: (2024)

Growth of regular partitions 1: Improved bounds for small slicewise VC-dimension
by: Terry, C.
Published: (2024)

VC-dimension of Salem sets over finite fields
by: Diallo, Moustapha, et al.
Published: (2025)

Multiplicative irreducibility of shifted multiplicative subgroups
by: Kim, Seoyoung, et al.
Published: (2026)

Product representations of polynomials over finite fields
by: Lee, Hyunwoo, et al.
Published: (2026)

Mutual position of two smooth quadrics over finite fields
by: Asgarli, Shamil, et al.
Published: (2024)

The subspace structure of maximum cliques in pseudo-Paley graphs from unions of cyclotomic classes
by: Asgarli, Shamil, et al.
Published: (2021)

Avoiding short progressions in Euclidean Ramsey theory
by: Currier, Gabriel, et al.
Published: (2024)

Spherical two-distance sets and eigenvalues of signed graphs
by: Jiang, Zilin, et al.
Published: (2020)

Hypergraph independence polynomials with a zero close to the origin
by: Zhang, Shengtong
Published: (2023)

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